Question

Polygon PQRST shown below is dilated with a scale factor of 3, keeping vertex P as the center of dilation. Which statement about Polygon PQRST and its image after dilation, Polygon P’Q’R’S’T’ is correct?

The lengths of side RQ and side R’Q’ are in the ratio 1:3.

The length of diagonal RT is equal to the length of diagonal R’T’.

The measures of angle S and angle S’ are in the ratio 1:3.

The length of side PQ is equal to the length of side P’Q’.

Answer 1

@jim_thompson5910

Answer 2

The two polygons are similar, so the angles are the same

So choice C is out

Answer 3

What other choices can we eliminate?

Answer 4

side PQ is equal to side P'Q', correct?

Answer 5

Look at the drawing and compare those two segments

Answer 6

side P'Q' is 3 times larger than side PQ

Answer 7

good, so the two aren't equal

Answer 8

oh, they r proportional

Answer 9

yes

Answer 10

so choice D is out

Answer 11

it must be choice A, because they are proportional, 1:3

Answer 12

good, you got it

Answer 13

Thanks